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Finding the Third Proportional to 349,311 and 526,000.50

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Solution

The third proportional to 349,311 and 526,000.50 is: 792,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,311 : 526,000.50 = 526,000.50 : x
  2. Step 2: Convert to fraction form
    349,311/526,000.50 = 526,000.50/x
  3. Step 3: Cross multiply
    349,311x = 526,000.50 × 526,000.50
  4. Step 4: Simplify right side
    349,311x = 276,676,526,000.25
  5. Step 5: Solve for x
    x = 276,676,526,000.25/349,311
  6. Step 6: Final answer
    x = 792,063.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.